(7n+2)=(3n-8)

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Solution for (7n+2)=(3n-8) equation: 


Simplifying
(7n + 2) = (3n + -8)

Reorder the terms:
(2 + 7n) = (3n + -8)

Remove parenthesis around (2 + 7n)
2 + 7n = (3n + -8)

Reorder the terms:
2 + 7n = (-8 + 3n)

Remove parenthesis around (-8 + 3n)
2 + 7n = -8 + 3n

Solving
2 + 7n = -8 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
2 + 7n + -3n = -8 + 3n + -3n

Combine like terms: 7n + -3n = 4n
2 + 4n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 4n = -8 + 0
2 + 4n = -8

Add '-2' to each side of the equation.
2 + -2 + 4n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = -8 + -2
4n = -8 + -2

Combine like terms: -8 + -2 = -10
4n = -10

Divide each side by '4'.
n = -2.5

Simplifying
n = -2.5

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